Answer:
hanges made to your input should not affect the solution:
(1): Dot was discarded near "4.".
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
5*x+7*y-(3914)=0
STEP
1
:
Equation of a Straight Line
1.1 Solve 5x+7y-3914 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 5x+7y-3914 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 3914/7 so this line "cuts" the y axis at y=559.14286
y-intercept = 3914/7 = 559.14286
Calculate the X-Intercept :
When y = 0 the value of x is 3914/5 Our line therefore "cuts" the x axis at x=782.80000
x-intercept = 3914/5 = 782.80000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 559.143 and for x=2.000, the value of y is 557.714. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 557.714 - 559.143 = -1.429 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -1.429/2.000 = -0.714
Geometric figure: Straight Line
Slope = -1.429/2.000 = -0.714
x-intercept = 3914/5 = 782.80000
y-intercept = 3914/7 = 559.14286
Step-by-step explanation:
